select the correct answer.\nin a parallel circuit, what effect will adding more resistors to the circuit…
select the correct answer.\nin a parallel circuit, what effect will adding more resistors to the circuit have?\na. the current will increase.\nb. the current will decrease.\nc. the current will decrease by a factor proportional to the number of resistors.\nd. the current is not affected by the number of resistors.
Answer
Explanation:
Step1: Recall parallel - circuit resistance formula
The formula for equivalent resistance $R_{eq}$ in a parallel circuit with resistors $R_1,R_2,\cdots,R_n$ is $\frac{1}{R_{eq}}=\sum_{i = 1}^{n}\frac{1}{R_i}$. When more resistors are added, the equivalent resistance $R_{eq}$ decreases.
Step2: Apply Ohm's law
Ohm's law is $I=\frac{V}{R}$, where $I$ is current, $V$ is voltage, and $R$ is resistance. Assuming the voltage $V$ across the circuit is constant, when $R$ (equivalent resistance) decreases, the current $I$ increases.
Answer:
A. The current will increase.